If A ={1,2,3,4}, define relations on A which have properties of being (iii)reflexive,symmetric and transitive.
Given that, A={1,2,3,4} Let R3={(1,2),(2,1),(1,1),(2,2),(3,3),(1,3)(3,1),(2,3)} Hence, R3 is reflexive, symmetric and transitive.
If A ={1,2,3,4}, define relations on A which have properties of being (ii)symmetric but neither reflexive nor transitive.
If A ={1,2,3,4}, define relations on A which have properties of being (i) Reflexive, transitive but not symmetric.
(ii) symmetric but neither reflexive nor transitive.
(iii) reflexive,symmetric and transitive.